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'works', 'works' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'
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5 ideas
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
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Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
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Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
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There are infinite sets that are not enumerable [Cantor, by Smith,P]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
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Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
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The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
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